Decide if the function is an exponential function. If it is, state the intial value and the base. y = 5 ^ x
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First pick a value of 
close to 
. You should be fine with 
.
The linear approximation of
at 
is given by
where
is some fixed value close to . You have
so
The actual value is closer to -0.9709, so the approximation is decent.
The linear approximation of
where
so
The actual value is closer to -0.9709, so the approximation is decent.